Cryptology ePrint Archive: Report 2011/353

Hidden Pair of Bijection Signature Scheme

Masahito Gotaishi and Shigeo Tsujii

Abstract: A new signature system of multivariate public key cryptosys-
tem is proposed. The new system, Hidden Pair of Bijection (HPB), is the
advanced version of the Complementary STS system. This system real-
ized both high security and quick signing. Experiments showed that the
cryptanalysis of HPB by Grobner bases has no less complexity than the
random polynomial systems. It is secure against other way of cryptanal-
ysis e&#64256;ective for Complementary STS.
On the other hand, since it is based on bijections, signatures exist for
any message, unlike other cryptosystems based on non-bijections such as
HFE or Unbalanced Oil and Vinegar.